6000065016 has 128 divisors (see below), whose sum is σ = 17152611840. Its totient is φ = 1731276800.

The previous prime is 6000064999. The next prime is 6000065021. The reversal of 6000065016 is 6105600006.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1412656 + ... + 1416896.

It is an arithmetic number, because the mean of its divisors is an integer number (134004780).

Almost surely, 2^6000065016 is an apocalyptic number.

6000065016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6000065016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8576305920).

6000065016 is an abundant number, since it is smaller than the sum of its proper divisors (11152546824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6000065016 is a wasteful number, since it uses less digits than its factorization.

6000065016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 6000065016 is about 77460.0865994868. The cubic root of 6000065016 is about 1817.1271562480.

The spelling of 6000065016 in words is "six billion, sixty-five thousand, sixteen".